Rchr
J-GLOBAL ID:200901018035401720
Update date: Oct. 31, 2024 Konno Hitoshi
コンノ ヒトシ | Konno Hitoshi
Affiliation and department: Job title:
Professor
Homepage URL (1): http://www.mis.hiroshima-u.ac.jp/~konno/index-j.html Research field (3):
Algebra
, Mathematical physics and basic theory
, Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
Research keywords (2):
Elliptic Quantum Group
, Quantum Integrable Systems
Research theme for competitive and other funds (24): - 2023 - 2026 Geometric Representations of the Elliptic Quantum Toroidal Algebras
- 2020 - 2023 Representation theory of elliptic quantum groups and symplectic duality
- 2017 - 2020 楕円量子群のGelfand-Tsetlin基底と幾何学的表現
- 2011 - 2016 Integrable homogeneous geometric structures and invariants
- 2014 - 2016 楕円量子群の表現による楕円Ruijsenaars模型の解析
- 2011 - 2015 Difference equations related with higher genus algebraic curves
- 2010 - 2014 多変数楕円超幾何関数系への表現論的アプローチ
- 2008 - 2012 A comprehensive research of vertex algebras, especially the W-algebras
- 2007 - 2009 Characterization of homogeneous spaces admitting flat geometric structures by means of invariants
- 2007 - 2009 Representations of elliptic quantum groups and their applications to elliptic special functions
- 2005 - 2008 Cohomologies and symmetries in integrable systems
- 2004 - 2006 Isometric imbeddings of Riemannian manifolds and their rigidity
- 2003 - 2005 Representation theory of Elliptic Quantum Groups and Deformation of W-algebra
- 2002 - 2003 Representation Theory of Elliptic Quantum Groups and the Elliptic q-KZB Equation
- 2001 - 2003 Characterization of curvatures by differential equations
- 2000 - 2001 Algebraic Analysis of Quantum Integrable Systems
- 1999 - 2001 Representation theory of elliptic quantum groups and its application
- 1998 - 1999 Solvable Lattice Models and Elliptic Quantum Groups
- 1997 - 1998 無限次元量子群の表現論と可積分な場の量子論の代数解析
- 1997 - 1998 THE EXPLICIT EXPRESSION OF C FUNCTION ON SEMISIMPLE LIE GROUPS AND ITS APPLICATION
- 1996 - 1998 Mathematics of Symmetry
- q-Deformation of the Extended Virasoro Algebras
- Algebraic Analysis of Solvable Lattice Models
- Representation Theory of the Elliptic Quantum Groups
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Papers (56): -
Hitoshi Konno, Kazuyuki Oshima. Elliptic Quantum Toroidal Algebras, Z-algebra Structure and Representations. Algebras and Representation Theory. 2024. 27. 2. 1137-1175
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Hitoshi Konno. Elliptic Quantum Groups. Encyclopedia of Mathematical Physics 2nd edition. 2024. vol. 3. 104-120
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Hitoshi Konno, Kazuyuki Oshima. Elliptic quantum toroidal algebra U_{q,t,p}(gl_{1,tor}) and affine quiver gauge theories. Letters in Mathematical Physics. 2023. 113. 2. No.32-64pp.
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KONNO Hitoshi. Elliptic Stable Envelopes and Finite-dimensional Representations of Elliptic Quantum Group. Journal of Integrable Systems. 2018. 3. 1-43
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Konno Hitoshi. U_q,p(gl_N^) and E_q,p(gl_N^). Advanced Studies in Pure Mathematics. 2018. 76. 347-417
more... MISC (18): -
Konno Hitoshi. Representation of the Elliptic Algebra $U_{x,p}(\widehat{\mathfrak{sl_2 } })$ and the Coset Virasoro Modules(Solvable Lattice Models 2004 : Recent Progress on Solvable Lattice Models ). RIMS Kokyuroku. 2006. 1480. 155-165
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Fusion of Baxter's elliptic R-matrix and the vertex-face correspondence. 数理解析研究所講究録. 2005
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今野 均. 量子群から楕円量子群へ・・・可解格子模型の階層を遡る. 数学セミナー. 2005. 44. 1. 28-32
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Fusion of Baxter's elliptic R-matrix and the vertex-face correspondence. 2005
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Hara Y., Jimbo M., Konno H., Odake S., Shiraishi J. Lepowsky-Wilson's Z Algebra and Deformed Virasoro Algebra. Meeting abstracts of the Physical Society of Japan. 2000. 55. 2. 6-6
more... Books (2): - Elliptic quantum groups : representations and related geometry
Springer 2020 ISBN:9789811573866
- Representation theory, special functions and Painlevé equations : RIMS 2015
Mathematical Society of Japan 2018 ISBN:9784864970501
Lectures and oral presentations (2): -
楕円量子群:Hopf algebroid構造と表現
(日本数学会2009年度年会 無限可積分系セッション特別講演 東京大学 2009)
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楕円量子群と可積分系
(日本数学会2000年度秋季総合分科会 無限可積分系セッション特別講演 京都大学 2000)
Works (7): -
楕円量子群の表現論とその応用
2001 -
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楕円量子群の表現論とその応用
2000 -
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アフィン リー環の表現
2000 -
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可解格子模型の代数解析
1999 -
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楕円量子群の定式化と表現
1998 -
more... Education (2): - 1984 - 1989 University of Tsukuba
- 1980 - 1984 Tokyo University of Science
Professional career (1): - Doctor of Science (University of Tsukuba)
Work history (10): - 2014/04 - 現在 Tokyo University of Marine Science and Technology Graduate School of Marine Science and Technology Professor
- 2006/04 - 2014/03 Hiroshima University Graduate School of Science, Department of Mathematics
- 1996/10 - 2006/03 Hiroshima University School of Integrated Arts and Sciences
- 2003/04 - 2003/07 Cambridge Univ. DAMTP JSPS/Royal Soc. Exchange Fellow
- 2002/08 - 2003/03 Heriot-Watt Univ. Dept.of Math. JSPS/Royal Soc. Exchange Fellow
- 1995 - 1996 Kyoto University Yukawa Institute for Theoretical Physics Research Fellow
- 1994 - 1995 Kyoto University Yukawa Institute for Theoretical Physics Soryushi Fellow
- 1991 - 1995 Kyoto University Research Institute for Mathematical Sciences, Yukawa Institute for Theoretical Physics
- 1989/09 - 1991/08 Univ. of Alabama Dept. of Physics & Astronomy Post Doc.
- 1989/04 - 1989/08 University of Tsukuba Graduate School of Physics Research Fellow
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Association Membership(s) (2):
THE PHYSICAL SOCIETY OF JAPAN
, THE MATHEMATICAL SOCIETY OF JAPAN
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